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Finding the Fourth Proportional to 33,410.31, 50,117.16 and 8,450.57

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Solution

The fourth proportional to 33,410.31, 50,117.16 and 8,450.57 is: 12,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,410.31 : 50,117.16 = 8,450.57 : x
  2. Step 2: Convert to fraction form
    33,410.31/50,117.16 = 8,450.57/x
  3. Step 3: Cross multiply
    33,410.31x = 50,117.16 × 8,450.57
  4. Step 4: Simplify right side
    33,410.31x = 423,518,318.20
  5. Step 5: Solve for x
    x = 423,518,318.20/33,410.31
  6. Step 6: Final answer
    x = 12,676.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.